What is the Greatest Common Factor of 21218 and 21228?

Greatest common factor (GCF) of 21218 and 21228 is 2.

GCF(21218,21228) = 2

We will now calculate the prime factors of 21218 and 21228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21218 and 21228.

How to find the GCF of 21218 and 21228?

We will first find the prime factorization of 21218 and 21228. After we will calculate the factors of 21218 and 21228 and find the biggest common factor number .

Step-1: Prime Factorization of 21218

Prime factors of 21218 are 2, 103. Prime factorization of 21218 in exponential form is:

21218 = 2¹ × 103²

Step-2: Prime Factorization of 21228

Prime factors of 21228 are 2, 3, 29, 61. Prime factorization of 21228 in exponential form is:

21228 = 2² × 3¹ × 29¹ × 61¹

Step-3: Factors of 21218

List of positive integer factors of 21218 that divides 21218 without a remainder.

1, 2, 103, 206, 10609

Step-4: Factors of 21228

List of positive integer factors of 21228 that divides 21218 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 61, 87, 116, 122, 174, 183, 244, 348, 366, 732, 1769, 3538, 5307, 7076, 10614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21218 and 21228. The biggest common factor number is the GCF number.
So the greatest common factor 21218 and 21228 is 2.

Also check out the Least Common Multiple of 21218 and 21228